Asked by Anon
The cost to produce x items is given by the function C(x) = 1200 + 8x + 0.01x^2.
a) Write a function that represents the average cost of producing x items.
b) Use the derivative of the function from a) to find the number of items that should be produced to minimize the average cost.
a) Write a function that represents the average cost of producing x items.
b) Use the derivative of the function from a) to find the number of items that should be produced to minimize the average cost.
Answers
Answered by
oobleck
(a) A(x) = C(x)/x = 0.01x + 8 + 1200/x
(b) dA/dx = 0.01 - 1200/x^2
so find where dA/dx=0
(b) dA/dx = 0.01 - 1200/x^2
so find where dA/dx=0
Answered by
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